Finding the Third Proportional to 582,406 and 913,792

Step by Step Solution

1. Step 1: Write the proportion equation
   582,406 : 913,792 = 913,792 : x
2. Step 2: Convert to fraction form
   582,406/913,792 = 913,792/x
3. Step 3: Cross multiply
   582,406x = 913,792 × 913,792
4. Step 4: Simplify right side
   582,406x = 835,015,819,264
5. Step 5: Solve for x
   x = 835,015,819,264/582,406
6. Step 6: Final answer
   x = 1,433,734.92